Question

Convert the following decimal to vulgar fraction
0.dot285

HELP

Answer 1

`\displaystyle 0.285=(57)/(200)`

Explanation:

Decimal to Fraction Conversion

We have the decimal number 0.285

It can be expressed as:

`\displaystyle 0.285=(285)/(1000)`

The fraction can be simplified by dividing by 5:

`\displaystyle 0.285=(57)/(200)`

Since 57 and 200 have no more common factors, this is the simplified equivalent fraction.

`\mathbf{\displaystyle 0.285=(57)/(200)}`